Variability ordering of heavy-tailed distributions with applications to order statistics

Statistics and Probability Letters

Volumn 58, Issue 4, 2002, Pages 381-388

  Kleiber, Christian ^a  

^a TU DORTMUND UNIVERSITY   (Germany)

Author keywords

Convex (transform) order; Dilation order; Dispersive order; Lorenz order; Order statistics; Regular variation; Star shaped order

Indexed keywords

EID: 0037100721     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-7152(02)00151-7     Document Type: Article

References (15)

1. Majorization and the Lorenz Order
2. Lorenz ordering of exponential order statistics
3. Lorenz ordering of means and medians
4. Lorenz ordering of order statistics
5. Lorenz ordering of order statistics and record values
6. Regular Variation
7. On dispersive ordering of order statistics in one-sample and two-sample problems
8. On extensions of DMRL and related partial and related partial orderings
9. Dispersive ordering of order statistics
10. Preservation of some likelihood ratio stochastic orders by order statistics
11. Dispersive ordering of distributions
12. Stochastic Orders and their Applications
13. Lorenz ordering of power-function order statistics
14. The Burr XII distribution in reliability analysis